What is the Least Common Multiple of 51585 and 51604?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 51585 and 51604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51585 and 51604, than apply into the LCM equation.

GCF(51585,51604) = 19
LCM(51585,51604) = ( 51585 × 51604) / 19
LCM(51585,51604) = 2661992340 / 19
LCM(51585,51604) = 140104860

Least Common Multiple (LCM) of 51585 and 51604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51585 and 51604. First we will calculate the prime factors of 51585 and 51604.

Prime Factorization of 51585

Prime Factorization of 51604

Now multiplying the highest exponent prime factors to calculate the LCM of 51585 and 51604.

LCM(51585,51604) = 3¹ × 5¹ × 19¹ × 181¹ × 2² × 7¹ × 97¹
LCM(51585,51604) = 140104860